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TRS Relative pair #487520658
details
property
value
status
complete
benchmark
gcd_many.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Mixed_relative_TRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.8698759079 seconds
cpu usage
3.908411734
max memory
2.52858368E8
stage attributes
key
value
output-size
1658
starexec-result
NO
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be disproven: (0) RelTRS (1) RelTRSLoopFinderProof [COMPLETE, 35 ms] (2) NO ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: min(x, 0) -> 0 min(0, y) -> 0 min(s(x), s(y)) -> s(min(x, y)) max(x, 0) -> x max(0, y) -> y max(s(x), s(y)) -> s(max(x, y)) -(x, 0) -> x -(s(x), s(y)) -> -(x, y) gcd(nil) -> 0 gcd(cons(x, nil)) -> x gcd(cons(0, y)) -> gcd(y) gcd(cons(x, cons(y, z))) -> gcd(cons(-(x, y), cons(y, z))) The relative TRS consists of the following S rules: gcd(cons(x, cons(y, z))) -> gcd(cons(max(x, y), cons(min(x, y), z))) ---------------------------------------- (1) RelTRSLoopFinderProof (COMPLETE) The following loop was found: ---------- Loop: ---------- gcd(cons(x, cons(y, z))) -> gcd(cons(-(x, y), cons(y, z))) with rule gcd(cons(x', cons(y', z'))) -> gcd(cons(-(x', y'), cons(y', z'))) at position [] and matcher [x' / x, y' / y, z' / z] Now an instance of the first term with Matcher [x / -(x, y)] occurs in the last term at position []. Context: [] Therefore, the relative TRS problem does not terminate. ---------------------------------------- (2) NO
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